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Finding the image of a value \( a \) by a function \( f \) whose curve is known, is to find the ordinate of the intersection of the curve with the abscissa line \( x = a \).

Example: Finding the image of \( 1 \) by the inverse function \( f(x) = 1/x \) is finding the intersection of the abscissa line \( x = 1 \) with the curve then go down to the corresponding ordinate: \( 1 \) so \( f(1) = 1 \).

What is the difference between image and preimage?

If a function \( f \) is such that \( f(x) = a \), the preimage of \( a \) by the function \( f \) is \( x \), and the image of \( x \) by the function \( f \) is \( a \).